Finding the Third Proportional to 348,348 and 538,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   348,348 : 538,378.50 = 538,378.50 : x
2. Step 2: Convert to fraction form
   348,348/538,378.50 = 538,378.50/x
3. Step 3: Cross multiply
   348,348x = 538,378.50 × 538,378.50
4. Step 4: Simplify right side
   348,348x = 289,851,409,262.25
5. Step 5: Solve for x
   x = 289,851,409,262.25/348,348
6. Step 6: Final answer
   x = 832,074.27